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quant-ph2004
Some Integrable Quantum Systems on the Lattice
M. Lorente
The Weyl relations, the harmonic oscillator, the hydrogen atom, the Dirac equation on the lattice are presented with the help of the difference equations and the orthogonal polynom…
quant-ph2004
Einstein-De Broglie relations on the lattice
M. Lorente
Historically the starting point of wave mechanics is the Planck and Einstein-de Broglie relations for the energy and momentum of a particle, where the momentum is connected to the…
quant-ph2004
Quantum Mechanics on discrete space and time
M. Lorente
We propose the assumption of quantum mechanics on a discrete space and time, which implies the modification of mathematical expressions for some postulates of quantum mechanics. In…